Finding the Third Proportional to 9,834 and 10,833

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834 : 10,833 = 10,833 : x
2. Step 2: Convert to fraction form
   9,834/10,833 = 10,833/x
3. Step 3: Cross multiply
   9,834x = 10,833 × 10,833
4. Step 4: Simplify right side
   9,834x = 117,353,889
5. Step 5: Solve for x
   x = 117,353,889/9,834
6. Step 6: Final answer
   x = 11,933.48